Prime p₀= 2356844996143000511 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 158
Found by: Drago75
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2356844127177374623	0 10 48 84 88 118 178 204 220 246 306 336 340 376 414 424	-868965625888
SPT(16)	2356844161032484283	0 26 30 56 96 110 140 146 150 156 186 200 240 266 270 296	-835110516228
STPT(10)	2356844268832151981	0 2 36 38 78 80 120 122 156 158	-727310848530
SPT(16)	2356844355127066907	0 6 20 86 134 144 156 174 182 200 212 222 270 336 350 356	-641015933604
STPT(10)	2356844401006920491	0 2 6 8 18 20 30 32 36 38	-595136080020
SPT(16)	2356844945697426607	0 16 22 34 70 106 124 126 190 192 210 246 282 294 300 316	-50445573904
STPT(10)	2356845016669978577	0 2 30 32 42 44 54 56 84 86	20526978066
SPT(18)	2356845046906093259	0 92 102 138 180 182 242 314 362 510 558 630 690 692 734 770 780 872	50763092748
SPT(16)	2356845310382513161	0 12 22 52 72 138 156 190 198 232 250 316 336 366 376 388	314239512650
SPT(16)	2356845521082041599	0 22 30 52 64 88 112 180 322 390 414 438 450 472 480 502	524939041088
SPT(16)	2356845554995920523	0 10 16 28 30 64 108 120 184 196 240 274 276 288 294 304	558852920012